Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cp |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-19636418248731648 = -1 · 210 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25944,6547336] |
[a1,a2,a3,a4,a6] |
Generators |
[110:3276:1] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
4.700385930703 |
L(r)(E,1)/r! |
Ω |
0.28325747528316 |
Real period |
R |
1.0371275122573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416eu1 6552m1 17472bh1 |
Quadratic twists by: -4 8 -3 |